Link on this page

<E-Book>
Combinatorics and Finite Geometry / by Steven T. Dougherty
(Springer Undergraduate Mathematics Series. ISSN:21974144)

Edition 1st ed. 2020.
Publisher (Cham : Springer International Publishing : Imprint: Springer)
Year 2020
Size XV, 369 p. 100 illus : online resource
Authors *Dougherty, Steven T author
SpringerLink (Online service)
Subjects LCSH:Discrete mathematics
LCSH:Convex geometry 
LCSH:Discrete geometry
FREE:Discrete Mathematics
FREE:Convex and Discrete Geometry
Notes 1 Foundational Combinatorial Structures -- 2 Foundational Algebraic Structures -- 3 Mutually Orthogonal Latin Squares -- 4 Affine and Projective Planes -- 5 Graphs -- 6 Higher Dimensional Finite Geometry -- 7 Designs -- 8 Combinatorial Objects -- 9 Discrete Probability - A Return to Counting -- 10 Automorphism Groups -- 11 Codes -- 12 Cryptology -- 13 Games and Designs -- 14 Epilogue -- References -- Glossary -- Solutions to Selected Odd Problems -- Index
This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics
HTTP:URL=https://doi.org/10.1007/978-3-030-56395-0
TOC

Hide book details.

E-Book オンライン 電子ブック

Springer eBooks 9783030563950
電子リソース
EB00196892

Hide details.

Material Type E-Book
Classification LCC:QA297.4
DC23:511.1
ID 4000135289
ISBN 9783030563950

 Similar Items